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Do we Need Dependent Types?


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Daniel Fridlender Mia Indrika March 2001 Inspired by Danvy, we describe a technique for defining, within the Hindley-Milner type system, some functions which seem to require a language with dependent types. We illustrate this by giving a general definition of zipWith for which the Haskell library provides a family of functions, each member of the family having a different type and arity. Our technique consists in introducing ad hoc codings for natural numbers which resemble numerals in lambda-calculus

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